Answer:
80 square units
Explanation:
The figure given can be decomposed to have two trapezoids of equal dimensions and a rectangle.
Area of the figure = (2*area of a trapezoid) + (area of a rectangle)
Area of the 2 trapezoids:
Area of the two trapezoid = 2(½(a + b)*h)
Where,
a = 2 + 6 + 2 = 10 units
b = 6 units
h = 2 units
Plug in the values:
Area of the two trapezoid = 2(½(10 + 6)*2)
= 2(½(16)*2)
Area = 32 units²
Area of the rectangle:
Area = length × width
Length = 8 units
Width = 6 units
Area = 8 × 6 = 48 units²
✔️Area of the figure = 32 + 48 = 80 units²